MATH 230 Introduction to Linear Algebra*
This course includes the application of matrices, determinants, linear transformations and vector spaces.
MATH 230Introduction to Linear Algebra*
Please note: This is not a course syllabus. A course syllabus is unique to a particular section of a course by instructor. This curriculum guide provides general information about a course.
I. General Information
Department
Mathematics & Engineering
II. Course Specification
Course Type
Program Requirement
Credit Hours Narrative
3 Credits
Semester Contact Hours Lecture
45
Prerequisite Narrative
MATH 170 or MATH 160 with a grade of 'C' or better.
Grading Method
Letter grade
III. Catalog Course Description
This course includes the application of matrices, determinants, linear transformations and vector spaces.
IV. Student Learning Outcomes
Upon completion of this course, a student will be able to:
- Analyze real-world questions and mathematically structure strategies to model the questions.
- Correctly provide solutions to the models of the questions.
- Communicate the solutions to the questions when analyzed and solved mathematically.
V. Topical Outline (Course Content)
Systems of Linear Equations
Gaussian Elimination
Matrices and Matrix Operations
The Matrix Equation Ax=b
Solution Sets of Linear Systems
Linear Independence
Linear Transformations
Vector Equations
The Inverse of a Matrix
Characterizations of Invertible Matrices
Partitioned Matrices
Determinants and their Properties
Cramer’s Rule and Volume
Vector Spaces and Subspaces
Null Spaces and Column Spaces
Linearly Independent Sets; Bases
Coordinate Systems
The Dimension of a Vector Space
Rank
Change of Basis
Eigenvectors and Eigenvalues
The Characteristic Equation
Diagonalization
Eigenvectors and Linear Transformations
Complex Eigenvalues
Inner Product, Length and Orthogonality
Orthogonal Sets
Orthogonal Projections
VI. Delivery Methodologies